Harrison was a puritan, and in 1589 is mentioned as attending a synod at St. John's College, along with Thomas Cartwright. He was a noted Christian Hebraist and among the revisers of the King James Bible. He belonged to the First Cambridge Company. For the last twenty years of his life he was vice-prefect of Trinity College.
He died in 1631 and was buried with some pomp in the chapel of his college. A Latin volume in his honour was written by Caleb Dalechamp (Dalecampius) and dedicated to John Bois; it is titled Harrisonus Honoratus: Id est Honorifica de Vita, &c. (Cambridge, 1632), and contains a meagre outline of his life in the form of a funeral oration, with some Latin verses to his memory.
McClure, Alexander. (1858) The Translators Revived: A Biographical Memoir of the Authors of the English Version of the Holy Bible. Mobile, Alabama: R. E. Publications (republished by the Marantha Bible Society, 1984 ASIN B0006YJPI8 )